105277 has 2 divisors, whose sum is σ = 105278. Its totient is φ = 105276.

The previous prime is 105269. The next prime is 105319. The reversal of 105277 is 772501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89401 + 15876 = 299^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 105277 - 2³ = 105269 is a prime.

It is a super-2 number, since 2×105277² = 22166493458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52638 + 52639.

It is an arithmetic number, because the mean of its divisors is an integer number (52639).

2¹⁰⁵²⁷⁷ is an apocalyptic number.

It is an amenable number.

105277 is a deficient number, since it is larger than the sum of its proper divisors (1).

105277 is an equidigital number, since it uses as much as digits as its factorization.

105277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 105277 is about 324.4641736772. The cubic root of 105277 is about 47.2183891288.

Adding to 105277 its reverse (772501), we get a palindrome (877778).

The spelling of 105277 in words is "one hundred five thousand, two hundred seventy-seven".